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Simplifying 5x + -2(3x + 1) = 3(X + -7) Reorder the terms: 5x + -2(1 + 3x) = 3(X + -7) 5x + (1 * -2 + 3x * -2) = 3(X + -7) 5x + (-2 + -6x) = 3(X + -7) Reorder the terms: -2 + 5x + -6x = 3(X + -7) Combine like terms: 5x + -6x = -1x -2 + -1x = 3(X + -7) Reorder the terms: -2 + -1x = 3(-7 + X) -2 + -1x = (-7 * 3 + X * 3) -2 + -1x = (-21 + 3X) Solving -2 + -1x = -21 + 3X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = -21 + 2 + 3X Combine like terms: -2 + 2 = 0 0 + -1x = -21 + 2 + 3X -1x = -21 + 2 + 3X Combine like terms: -21 + 2 = -19 -1x = -19 + 3X Divide each side by '-1'. x = 19 + -3X Simplifying x = 19 + -3X
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